Math Is Fun Forum

Use a CAS to multiply it out.

xD

How does one lose their identity?

But yes, it is definitely true that you will be mature enough when you go to university.

That's quite odd.

Are their any "challenge" exams (like in the US) where you can take an exam to show that you have the knowledge required for the course so you don't have to take it in regular school?

If no, then your only option is to inquire about online classes and hope it's doable. Otherwise, I guess you will have to switch countries (unlikely) or just spend the four years in secondary school being bored.

Reposting question 6 from last post with new problem.

6. A right circular cone is inscribed inside a larger right circular cone with a volume of 180 cm^3. The axes of the cones coincide and the vertex of the inner cone touches the center of the base of the outer cone. Find the ratio of the heights of the cones that maximizes the inner cone volume.

7. Prove or disprove the following statement

I dislike any type of history, unless it is science related.

I am guessing you have 3 years of high school left?

Is homeschooling an option for you?

I know a very significant amount of science history.

It is more or less the only type of history I am interested in.

In my opinion (along with asking a few professors here for their opinions), a and b are coefficients of x^2 and x respectively and c of x^0. However, we can't say that c is a coefficient in ax^2 + bx + c, but we can say it is in ax^2 + bx + cx^0.

It is the same everywhere. Either you are a child prodigy with a huge IQ or you have to complete all the courses to graduate early. Can you take those courses online, through summer school etc?

You're welcome.

By the way, in order to graduate, don't you (I had to) have to take all the courses early by taking them online/night school/summer school? If so, then you will have to learn the other subjects that you don't like anyway.

Well, I don't think you can prove that you already know the material beyond your current level unless you are getting perfect marks right now.

Right now I am taking a variety of courses such as Supersymmetric Quantum Field Theories, Advanced topics in General Relativity, Astrophysics 2 etc.

For calculus, I would recommend Spivak's Calculus - arguably the most rigorous and best calculus textbook out there (also being used by most top 25 universities - or Apostol or Courant).

For physics, I would recommend learning some calculus first (it shouldn't take too long) and then tackling calculus-based physics. I wouldn't recommend algebra-based physics at all. After you learn calculus, don't settle for books like Halliday & Resnick.

Instead, for classical mechanics use Kleppner & Kolenkow (that is a tough book, but if you want even more difficult problems than you can use Morin). For electricity and magnetism you can use Purcell and for Quantum Mechanics Ballentine or Griffiths is usually the best way to start.

Better organization

Combine all Personality (in profile) stuff with Display (maybe Signature can go under Personal).

This may sound too simple but small things matter most.